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Simplifying 5(3c + -2) + 8 = 42 Reorder the terms: 5(-2 + 3c) + 8 = 42 (-2 * 5 + 3c * 5) + 8 = 42 (-10 + 15c) + 8 = 42 Reorder the terms: -10 + 8 + 15c = 42 Combine like terms: -10 + 8 = -2 -2 + 15c = 42 Solving -2 + 15c = 42 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 15c = 42 + 2 Combine like terms: -2 + 2 = 0 0 + 15c = 42 + 2 15c = 42 + 2 Combine like terms: 42 + 2 = 44 15c = 44 Divide each side by '15'. c = 2.933333333 Simplifying c = 2.933333333
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